Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bn |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9437184 |
Modular degree for the optimal curve |
Δ |
-3.2331215583314E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26656025,-53684254875] |
[a1,a2,a3,a4,a6] |
Generators |
[18373874575567138897568858:133664817957112169004608979:3063887426735306097893] |
Generators of the group modulo torsion |
j |
-1139466686381936641/17587891077120 |
j-invariant |
L |
4.5930033636223 |
L(r)(E,1)/r! |
Ω |
0.033191155954535 |
Real period |
R |
34.595084305799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cm1 13650bd1 |
Quadratic twists by: 5 -7 |